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The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric

Author

Listed:
  • Tofigh Allahviranloo
  • Rasoul Saneifard
  • Rahim Saneifard
  • Farzad Kiani
  • Samad Noeiaghdam
  • Vediyappan Govindan
  • Mehdi Ghatee

Abstract

The ongoing study has been vehemently allocated to propound an ameliorated α-weighted generalized approximation of an arbitrary fuzzy number. This method sets out to lessen the distance between the original fuzzy set and its approximation. In an effort to elaborate the study, formulas are designed for computing the ameliorated approximation by using a multitude of examples. The numerical samples will be exemplified to illuminate the improvement of the nearest triangular approximation (Abbasbandy et al., Triangular approximation of fuzzy numbers using α-weighted valuations, Soft Computing, 2019). A variety of features of the ameliorated approximation are then proved.

Suggested Citation

  • Tofigh Allahviranloo & Rasoul Saneifard & Rahim Saneifard & Farzad Kiani & Samad Noeiaghdam & Vediyappan Govindan & Mehdi Ghatee, 2022. "The Best Approximation of Generalized Fuzzy Numbers Based on Scaled Metric," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:1414415
    DOI: 10.1155/2022/1414415
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    Cited by:

    1. Mashadi & Yuliana Safitri & Sukono & Igif Gimin Prihanto & Muhamad Deni Johansyah & Moch Panji Agung Saputra, 2024. "The Inverse and General Inverse of Trapezoidal Fuzzy Numbers with Modified Elementary Row Operations," Mathematics, MDPI, vol. 12(7), pages 1-14, March.

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